Question

what is the sum of the interior angles of an octagon?
polygon angle sum formula: (n - 2)180°

Explanation:

Step1: Identify the number of sides

An octagon has \(n = 8\) sides.

Step2: Substitute into the formula

Using the formula \((n - 2)\times180^{\circ}\), substitute \(n = 8\): \((8 - 2)\times180^{\circ}\).

Step3: Calculate the result

First, \(8-2=6\). Then, \(6\times180^{\circ}=1080^{\circ}\).

Answer:

\(1080\)